The masses of neutron, proton and deutron in amu are 1.00893, 1.00813 and 2.01473, respectively. The packing…

The masses of neutron, proton and deutron in amu are 1.00893, 1.00813 and 2.01473, respectively. The packing fraction of the deutron in amu is
  1. $11.65 \times 10^{-4}$
  2. $23.5 \times 10^{-4}$
  3. $33.5 \times 10^{-4}$
  4. $47.15 \times 10^{-4}$

Solution

$m_n=1.00893, m_p=1.00813, m_d=201473$ Deuteron $\left.{ }_1 \mathrm{H}^2\right)$ nucleus consist of one proton and one neutron. $\begin{aligned} \therefore \text {Mass defect } & \Delta m=\left(m_n+m_p\right)-m_d \\ & =(1.00893+1.00813)-201473 \\ & =0.00233 \end{aligned}$ $\begin{aligned} \text {Packing fraction } & =\frac{\Delta m}{A} \\ & =\frac{0.00233}{2}=11.65 \times 10^{-4}\end{aligned}$

Asked in: AP EAMCET 2002

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